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144787220323245 = 3256095095278829
BaseRepresentation
bin100000111010111011100110…
…110101011101101110101101
3200222122112010022212010201200
4200322323212311131232231
5122434143211400320440
61231534155240400113
742332350202450343
oct4072734665355655
9628575108763650
10144787220323245
1142151a08306285
12142a4897176039
1362a34b7935696
1427a7a4b5b9993
1511b13ab857c30
hex83aee6d5dbad

144787220323245 has 24 divisors (see below), whose sum is σ = 250964974517400. Its totient is φ = 77219709518976.

The previous prime is 144787220323237. The next prime is 144787220323289. The reversal of 144787220323245 is 542323022787441.

144787220323245 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 8 + 72 + 2 + 0 + 323 + 245 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25653029673924 + 119134190649321 = 5064882^2 + 10914861^2 .

It is not a de Polignac number, because 144787220323245 - 23 = 144787220323237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144787220323191 and 144787220323200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24788491 + ... + 30067319.

It is an arithmetic number, because the mean of its divisors is an integer number (10456873938225).

Almost surely, 2144787220323245 is an apocalyptic number.

144787220323245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144787220323245 is a deficient number, since it is larger than the sum of its proper divisors (106177754194155).

144787220323245 is a wasteful number, since it uses less digits than its factorization.

144787220323245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888349 (or 5888346 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 144787220323245 in words is "one hundred forty-four trillion, seven hundred eighty-seven billion, two hundred twenty million, three hundred twenty-three thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 609509 1828527 3047545 5278829 5485581 9142635 15836487 26394145 27427905 47509461 79182435 237547305 3217493784961 9652481354883 16087468924805 28957444064649 48262406774415 144787220323245